The order of convergence of some families of iterative methods for solving nonlinear equations


Raluca Anamaria Pomian


Abstract

creative_2008_17_2_081_088_abstract

Full PDF

creative_2008_17_2_081_088

We focus on some families of iterative methods. A few particular cases of these families are: Newton's method, Halley's method, Euler's method, Osculating parabola method, Chebyshev's method and others. For each families we started with a definition, we continue with particular cases and examples. For each these families we get their convergence order. We also obtain for some polynomials the attraction basins of the studied methods.

Additional Information

Author(s)

Pomian, Raluca Anamaria